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Finding the Third Proportional to 1,470,630,897 and 3,173,666,265

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Solution

The third proportional to 1,470,630,897 and 3,173,666,265 is: 6,848,868,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470,630,897 : 3,173,666,265 = 3,173,666,265 : x
  2. Step 2: Convert to fraction form
    1,470,630,897/3,173,666,265 = 3,173,666,265/x
  3. Step 3: Cross multiply
    1,470,630,897x = 3,173,666,265 × 3,173,666,265
  4. Step 4: Simplify right side
    1,470,630,897x = 10,072,157,561,599,049,728
  5. Step 5: Solve for x
    x = 10,072,157,561,599,049,728/1,470,630,897
  6. Step 6: Final answer
    x = 6,848,868,456.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.